- exceptional algebra
- мат. исключительная алгебра
Большой англо-русский и русско-английский словарь. 2001.
exceptional algebra
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Exceptional object — Many branches of mathematics study objects of a given type and prove a classification theorem. A common theme is that the classification results in a number of series of objects as well as a finite number of exceptions that don t fit into any… … Wikipedia
Jordan algebra — In mathematics, a Jordan algebra is defined in abstract algebra as a (usually nonassociative) algebra over a field with multiplication satisfying the following axioms:# xy = yx (commutative law) # (xy)(xx) = x(y(xx)) (Jordan identity)The product… … Wikipedia
Compact Lie algebra — Lie groups … Wikipedia
En (Lie algebra) — In mathematics, especially in Lie theory, E n is the Kac–Moody algebra whose Dynkin diagram is a line of n 1 points with an extra point attached to the third point from the end. Finite dimensional Lie algebras*E3 is another name for the Lie… … Wikipedia
Clifford algebra — In mathematics, Clifford algebras are a type of associative algebra. They can be thought of as one of the possible generalizations of the complex numbers and quaternions.[1][2] The theory of Clifford algebras is intimately connected with the… … Wikipedia
Lie algebra representation — Lie groups … Wikipedia
Octonion algebra — In mathematics, an octonion algebra over a field F is an algebraic structure which is an 8 dimensional composition algebra over F. In other words, it is a unital nonassociative algebra A over F with a nondegenerate quadratic form N (called the… … Wikipedia
Composition algebra — In mathematics, a composition algebra A over a field K is a unital (but not necessarily associative) algebra over K together with a nondegenerate quadratic form N which satisfies for all x and y in A. The quadratic form N is often referred… … Wikipedia
Albert algebra — In mathematics, an Albert algebra is a 27 dimensional exceptional Jordan algebra. They are named after Abraham Adrian Albert, who pioneered the study of non associative algebras, usually working over the real numbers. Over the real numbers, there … Wikipedia
Flag (linear algebra) — In mathematics, particularly in linear algebra, a flag is an increasing sequence of subspaces of a vector space V . Here increasing means each is a proper subspace of the next (see filtration)::{0} = V 0 sub V 1 sub V 2 sub cdots sub V k = V.If… … Wikipedia
E₈ — In mathematics, E8 is the name given to a family of closely related structures. In particular, it is the name of four exceptional simple Lie algebras as well as that of the six associated simple Lie groups. It is also the name given to the… … Wikipedia
